258126099952 has 160 divisors (see below), whose sum is σ = 607757926400. Its totient is φ = 103742601984.

The previous prime is 258126099851. The next prime is 258126099977. The reversal of 258126099952 is 259990621852.

258126099952 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167287693 + ... + 167289235.

It is an arithmetic number, because the mean of its divisors is an integer number (3798487040).

Almost surely, 2^258126099952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258126099952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303878963200).

258126099952 is an abundant number, since it is smaller than the sum of its proper divisors (349631826448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258126099952 is a wasteful number, since it uses less digits than its factorization.

258126099952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 58.

The spelling of 258126099952 in words is "two hundred fifty-eight billion, one hundred twenty-six million, ninety-nine thousand, nine hundred fifty-two".